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The analysis and geometry of isometric embedding

2019/05/05 10:13  点击:[]

报告人:徐国义 (清华大学)


日  期:2019年5月8


时  间:16:00


地  点:理科楼 LD302


摘  要:In 1950’s, Nash-Kuiper built up the C^1 isometric embedding for any surface into $\mathbb{R}^3$, this can be viewed as analysis side of isometric embedding. On the other hand, there is obstruction for the existence of $C^2$ isometric embedding of surface into $\mathbb{R}^3$ known since Hilbert, which reflects the geometry flavor of isometric embedding. What’s happening from $C^1$ to $C^2$ (from analysis to geometry)? We will present our partial progress along this direction. The talk will be accessible to audience with basic knowledge of analysis and differential geometry.


报告人简介徐国义,清华大学丘成桐数学中心副教授,研究方向几何分析。现主持国家自然科学基金面上项目一项。详情见http://faculty.math.tsinghua.edu.cn/~gyxu/。


学院联系人:黄辉斥


欢迎广大师生积极参与!


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